Information on Result #1082606
Linear OOA(8144, 1822, F81, 4, 16) (dual of [(1822, 4), 7244, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8113, 182, F81, 4, 8) (dual of [(182, 4), 715, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 82, F81, 4, 4) (dual of [(82, 4), 324, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;324,81) [i]
- linear OOA(819, 100, F81, 4, 8) (dual of [(100, 4), 391, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,391P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(814, 82, F81, 4, 4) (dual of [(82, 4), 324, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8131, 1640, F81, 4, 16) (dual of [(1640, 4), 6529, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8131, 6560, F81, 16) (dual of [6560, 6529, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using
- OOA 4-folding [i] based on linear OA(8131, 6560, F81, 16) (dual of [6560, 6529, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8144, 910, F81, 20, 16) (dual of [(910, 20), 18156, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |